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  • Article
    Citation - WoS: 8
    Citation - Scopus: 11
    Joint Distribution of Run Statistics in Partially Exchangeable Processes
    (Elsevier Science Bv, 2011) Eryilmaz, Serkan
    Let {X-i}(i >= 1) be an infinite sequence of recurrent partially exchangeable random variables with two possible outcomes as either "1" (success) or "0" (failure). In this paper we obtain the joint distribution of success and failure run statistics in {X-i}(i >= 1). The results can be used to obtain the joint distribution of runs in ordinary Markov chains, exchangeable and independent sequences. (C) 2010 Elsevier B.V. All rights reserved.